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An Ode to Four Four Two: Football's Simplest and Finest Formation examines how coaches in Europe, and particularly England, settled on the 4-4-2 formation to build iconic teams which would dominate both domestically and in Europe. Formations have continually evolved since the birth of the game in the mid-nineteenth century. From teams playing with four or five forwards, to the modern era of teams with just the one. Arguably the greatest formation has been 4-4-2. Some of the greatest teams have lined up in this multi-functional system. Flick through the football history books and it is filled with teams like AC Milan, Manchester United, Liverpool, Leeds United and Barcelona, all enjoying glorious eras playing 4-4-2. But it isn't just the elite of world football. Who can forget Leicester City, led by Claudio Ranieri, reviving the system against all odds to outperform the Premier League's big six to claim a historic title in 2016? Author John McNicoll looks at how and why these teams used the formation to such effect. How they dominated in their era to stand out from the rest. It is the story of how teams, both big and small in status, have played the system to perfection.
An Ode to Four Four Two: Football's Simplest and Finest Formation examines how coaches in Europe, and particularly England, settled on the 4-4-2 formation to build iconic teams which would dominate both domestically and in Europe. Formations have continually evolved since the birth of the game in the mid-nineteenth century. From teams playing with four or five forwards, to the modern era of teams with just the one. Arguably the greatest formation has been 4-4-2. Some of the greatest teams have lined up in this multi-functional system. Flick through the football history books and it is filled with teams like AC Milan, Manchester United, Liverpool, Leeds United and Barcelona, all enjoying glorious eras playing 4-4-2. But it isn't just the elite of world football. Who can forget Leicester City, led by Claudio Ranieri, reviving the system against all odds to outperform the Premier League's big six to claim a historic title in 2016? Author John McNicoll looks at how and why these teams used the formation to such effect. How they dominated in their era to stand out from the rest. It is the story of how teams, both big and small in status, have played the system to perfection.
This comprehensive overview of lattice sums is long overdue for a topic that is important in diverse areas of science.
This book, now in its second edition, introduces the singularity analysis of differential and difference equations via the Painlevé test and shows how Painlevé analysis provides a powerful algorithmic approach to building explicit solutions to nonlinear ordinary and partial differential equations. It is illustrated with integrable equations such as the nonlinear Schrödinger equation, the Korteweg-de Vries equation, Hénon-Heiles type Hamiltonians, and numerous physically relevant examples such as the Kuramoto-Sivashinsky equation, the Kolmogorov-Petrovski-Piskunov equation, and mainly the cubic and quintic Ginzburg-Landau equations. Extensively revised, updated, and expanded, this new edition includes: recent insights from Nevanlinna theory and analysis on both the cubic and quintic Ginzburg-Landau equations; a close look at physical problems involving the sixth Painlevé function; and an overview of new results since the book’s original publication with special focus on finite difference equations. The book features tutorials, appendices, and comprehensive references, and will appeal to graduate students and researchers in both mathematics and the physical sciences.
This book offers a radical new theory of the role of poetry in the rise of cultural nationalism. With equal attention to England, Scotland, and Wales, the book takes an Archipelagic approach to the study of poetics, print media, and medievalism in the rise of British Romanticism. It tells the story of how poets and antiquarian editors in the British nations rediscovered forgotten archaic poetic texts and repurposed them as the foundation of a new concept of the nation, now imagined as a primarily cultural formation. It also draws on legal and ecclesiastical history in drawing a sharp contrast between early modern and Romantic antiquarianisms. Equally a work of literary criticism and history, the book offers provocative new theorizations of nationalism and Romanticism and new readings of major British poets, including Allan Ramsay, Thomas Gray, and Samuel Taylor Coleridge.